how do you write a linear equation

Question

jigglypuff314 · Answer

there are two (or three) ways to write a linear equation
slope intercept form:  y = mx + b
point-slope form: y - y1 = m(x - x1)
and standard form:   ax + by = c

jigglypuff314 · Answer

would you like explanations and examples?

anonymous · Answer

yes

jigglypuff314 · Answer

slope intercept form: y = mx + b
when m = slope  and  b = y-intercept

so for example when given slope = -4   and y-intercept is (0, 3)
the equation in slope intercept form would be   y = -4x + 3

jigglypuff314 · Answer

we've already gone over the point-slope form
so standard form: ax + by = c
is when you bring the x and y values to one side once you have an equation of a line

so for example, to get y = -4x + 3 to standard form, add 4x to both sides
                      so  4x + y = 3
but know that there can only be integer coefficients in standard form
so for example if you were given a    y - 2 = (1/2)(x - 2)
                                                        y = (1/2)x - 1 + 2
                                       (-1/2)x + y = 1   to get so that there is no fraction
multiply through by reciprical    -x + 2y = 2